sci.math Google Group

Re: The modern mathematical concept of infinity is indefensible

2009-01-07T11:22:09Z

On Tue, 6 Jan 2009 18:08:49 -0800 (PST), Albrecht <albst...@gmx.de>
wrote:
That follows _if_ "number" means "natural number". In fact
that's not what it means in this context.
The actual content of your post, stripping the assertions
based on misunderstanding that words mean what we say
they mean, boils down to the fact that there are infinitely

Re: The modern mathematical concept of infinity is indefensible

2009-01-07T11:19:48Z

He's not a finitist working in that theory, or if
he is there's no evidence of it in his post. He's
_asserting_ that Infinity is _false_. More than
that, he's claiming to _prove_ that Infinity is
false.
Nothing ironic about it.
David C. Ullrich
"Understanding Godel isn't about following his formal proof.

Re: The modern mathematical concept of infinity is indefensible

2009-01-07T11:15:11Z

There you go yet again, defending something utterly
other than what the guy said.
ZF-Infinity+-Infinity is logical theory that has
certain well-defined axioms. In the OP there was
nothing about what follows from this axiom or
that axiom, the OP _stated_ that [blah blah]
was "indefensible". He "proved" this, and his

Re: Intelligent Design or "It's Only a Theory"

2009-01-07T10:59:24Z

Not sciences

Re: Complex Analysis ("Inner functions" in annulus).

2009-01-07T10:51:05Z

On Sat, 03 Jan 2009 07:46:00 -0600, "David C. Ullrich"
There's a classical result that makes one direction
straightforward - the theorem on page 317 of
Remmert "Classical Topics in Complex Function
Theory" (GTM 172) which, in our setting, says this:
Product Theorem for Units (PTU) If f is holomorphic

Re: JSH: General distributive property result, helps?

2009-01-07T10:23:02Z

In this case James seems to be a classic example of the Dunning-Kruger
effect, ([link]), he does
not even know enough to be able to see just how wrong he is.
rossum

Re: sequence (f_n)

2009-01-07T10:19:59Z

Thank you.

finding a function with a DE and a Taylor's polynomial.

2009-01-07T10:11:29Z

If you already aware of my previous question
no need to introduction for u, else if you
reading this fist time, This is the question
Sn = 2+4+8+10+12+16+20+24+26+28+34+ 40.........
finding out a 'compact' term for a particular 'increasing'
Even series.
from the above I'm taking 5 terms for easiness.
Sn = 2+4+8+10+12 = 36

Re: JSH: General distributive property result, helps?

2009-01-07T09:53:15Z

[William Hughes]
[JSH]
[William]
[JSH]
James ... well ... LOL! What can anyone say? You are in soooo far over
your head even when it when comes to trivial algebra, and so fiercely
determined never to learn a damn thing, there's really nothing to be
said.
To save face, you should start running away from this thread full speed

Conditions for Newton series convergence?

2009-01-07T09:43:57Z

Hi.
What conditions are required exactly for a Newton series (finite-
difference analogue of a Taylor series) to converge at non-integer
points? Because I was wondering if they could be used to prove the
convergence of the Newton series for the tetration of bases in (1, e^
(1/e)] (thus elevating this extension to one that has convergence

Re: Square root of non-diagonalizable matrix

2009-01-07T09:25:43Z

Rod a écrit :
The conditions for the existence of square roots depend heavily on the
field of coefficients...
However Jordan form may help you to compute a square root of a
trigonalizable matrices.

Re: A MOD B NO MATH HAHAHAHA !!

2009-01-07T09:19:13Z

Interestingly enough, I consider the distinction between
an "integer" value like 3 and a "float" like 3.0 to be
analogous to the distinction between, say the von
Neumann natural 3 = {0, {0}, {0, {0}}} and the real
3.0 (which, if we use Dedekind cuts, is the set of
rationals less than three, with each rational itself

Re: Product of pairwise differences between n different numbers (Pigeonhole Principle?)

2009-01-07T09:12:50Z

In article
<770ebdac-d3d7-4a41-b6b2-aafd3 a7f6...@q30g2000prq.googlegrou ps.com>,
Right. Thanks. I will put more time into it.

Re: sequence (f_n)

2009-01-07T09:08:05Z

In article
<86885fbe-ec98-4d07-9ffe-c2020 0fe6...@a12g2000pro.googlegrou ps.com>,
Looks like it converges to x^2/4 pointwise for x >= 0, and uniformly
on any [a , b] with a > 0, but not uniformly on any (0, b).

Square root of non-diagonalizable matrix

2009-01-07T09:07:20Z

Do non-diagonalizable square matrices have square roots, and if so how do
you compute them?